کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424941 | 1633784 | 2017 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The K-theory of assemblers
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The K-theory of assemblers The K-theory of assemblers](/preview/png/6424941.png)
چکیده انگلیسی
In this paper we introduce the notion of an assembler, which formally encodes “cutting and pasting” data. An assembler has an associated K-theory spectrum, in which Ï0 is the free abelian group of objects of the assembler modulo the cutting and pasting relations, and in which the higher homotopy groups encode further geometric invariants. The goal of this paper is to prove structural theorems about this K-theory spectrum, including analogs of Quillen's localization and dévissage theorems. We demonstrate the uses of these theorems by analyzing the assembler associated to the Grothendieck ring of varieties and the assembler associated to scissors congruence groups of polytopes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 304, 2 January 2017, Pages 1176-1218
Journal: Advances in Mathematics - Volume 304, 2 January 2017, Pages 1176-1218
نویسندگان
Inna Zakharevich,